Lorentz Violation in Supersymmetric Field Theories

Abstract

We construct supersymmetric Lorentz violating operators for matter and gauge fields. We show that in the supersymmetric Standard Model the lowest possible dimension for such operators is five, and therefore they are suppressed by at least one power of an ultra--violet energy scale, providing a possible explanation for the smallness of Lorentz violation and its stability against radiative corrections. Supersymmetric Lorentz noninvariant operators do not lead to modifications of dispersion relations at high energies thereby escaping constraints from astrophysical searches for Lorentz violation.

Minor corrections

Cited by in corpus (136)

• Modified Gravity and Cosmology
• Testing General Relativity with Present and Future Astrophysical Observations
• Modern tests of Lorentz invariance
• Nonlinear collective effects in photon-photon and photon-plasma interactions
• Quantum Spacetime Phenomenology
• Tests of Lorentz invariance: a 2013 update
• Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Horava-Lifshitz Cosmology: A Review
• Horava-Lifshitz gravity: a status report
• Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Lorentz Violation: Motivation and new constraints
• Horava gravity vs. thermodynamics: the black hole case
• Renormalization of Horava Gravity
• On Lorentz violation in Horava-Lifshitz type theories
• Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• A Michelson-Morley Test of Lorentz Symmetry for Electrons
• Lorentz Violating Supersymmetric Quantum Electrodynamics
• Neutrino Interferometry for High-Precision Tests of Lorentz Symmetry with IceCube
• Perturbations and quasi-normal modes of black holes in Einstein-Aether theory
• Constraints on Lorentz Invariance Violation using INTEGRAL/IBIS observations of GRB041219A
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• Gravitational spectrum of black holes in the Einstein-Aether theory
• Emergent Models for Gravity: an Overview of Microscopic Models
• Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate
• Defect Structures in Lorentz and CPT Violating Scenarios
• Constraints on Lorentz invariance violation from gamma-ray burst GRB090510
• Strict Limit on CPT Violation from Polarization of Gamma-Ray Bursts
• Phenomenology of theories of gravity without Lorentz invariance: the preferred frame case
• Planck-scale Lorentz violation constrained by Ultra-High-Energy Cosmic Rays
• Synchrotron Radiation in Lorentz-violating Electrodynamics: the Myers-Pospelov model
• Symmetry violations in nuclear and neutron $\beta$ decay
• Lorentz invariance violations in the interplay of quantum gravity with matter
• Black Hole Thermodynamics and Lorentz Symmetry
• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Scale hierarchy in Horava-Lifshitz gravity: a strong constraint from synchrotron radiation in the Crab nebula
• Testing Lorentz invariance of dark matter
• Cosmological constraints on Lorentz violating dark energy
• Interpreting OPERA results on superluminal neutrino
• Constraints on Hořava gravity from binary black hole observations
• Cosmological constraints on deviations from Lorentz invariance in gravity and dark matter
• Einstein-aether gravity: a status report
• Lorentz violation, Gravity, Dissipation and Holography
• Emergent Lorentz invariance from Strong Dynamics: Holographic examples
• Improved bounds on Lorentz violation from composite-pulse Ramsey spectroscopy in a trapped ion
• Lorentz Symmetry Violation of Cosmic Photons
• Technically natural dark energy from Lorentz breaking
• Lorentz Invariance Violation and Chemical Composition of Ultra High Energy Cosmic Rays
• General relativity limit of Horava-Lifshitz gravity with a scalar field in gradient expansion
• Towards the renormalization group flow of Horava gravity in $(3+1)$ dimensions
• Possible cosmogenic neutrino constraints on Planck-scale Lorentz violation
• Lorentz violation effects on astrophysical propagation of very high energy photons
• Massive photons from Super and Lorentz symmetry breaking
• The Higgs mechanism in Finsler spacetimes
• Comment on [arXiv:1106.1417] "Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?"
• New binary pulsar constraints on Einstein-æther theory after GW170817
• Constraining the Preferred-Frame ${\alpha }_1$, ${\alpha }_2$ parameters from Solar System planetary precessions
• Supersymmetric Aether
• Post-Newtonian constraints on Lorentz-violating gravity theories with a MOND phenomenology
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Synchrotron radiation in Myers-Pospelov effective electrodynamics
• Photon sector analysis of Super and Lorentz symmetry breaking: effective photon mass, bi-refringence and dissipation
• On Lorentz-Violating Supersymmetric Quantum Field Theories
• Spherically symmetric static black holes in Einstein-aether theory
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Extended phase-space analysis of the Horava-Lifshitz cosmology
• Horava gravity with mixed derivative terms
• Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment
• Vector Superfields and Lorentz Violation
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Quantum Gravity phenomenology: achievements and challenges
• Electric Dipole Moments as Probes of CPT Invariance
• Horava-Lifshitz gravity with $\lambda \to \infty$
• Well-posed Cauchy formulation for Einstein-æther theory
• Astrophysical Bounds on Planck Suppressed Lorentz Violation
• Einstein-aether as a quantum effective field theory
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• UV-extending Ghost Inflation
• The relation between general relativity and a class of Hořava gravity theories
• Matter in Horava-Lifshitz gravity
• Scale invariant solids
• Quantum Corrections to Lorentz Invariance Violating Theories: Fine-Tuning Problem
• N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Neutron star sensitivities in Hořava gravity after GW170817
• Lifshitz-sector mediated SUSY breaking
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• Testing Lorentz Invariance Violation in Quantum Gravity Theories
• The Lorentz-violating real scalar field at thermal equilibrium
• Emergence of time in power-counting renormalizable Riemannian theory of gravity
• Supersymmetry Breaking in Spatially Modulated Vacua
• Emergent Lorentz invariance with chiral fermions
• Generalized commutation relations and Non linear momenta theories, a close relationship
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Lorentz violation naturalness revisited
• Phenomenological Implications of Very Special Relativity
• Perspectives on Quantum Gravity Phenomenology
• Eikonal equation of the Lorentz-violating Maxwell theory
• CPT-odd Leptogenesis
• Lorentz-violating effects in three-dimensional $QED$
• Gauge anomalies in Lorentz-violating QED
• Corrections to flat-space particle dynamics arising from space granularity
• Challenges for Emergent Gravity
• Revisiting Lorentz violation in Horava gravity
• New Heat Kernel Method in Lifshitz Theories
• The uninvited guest in mixed derivative Hořava Gravity
• Lorentz Violation and Superpartner Masses
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Non-relativistic Supersymmetry
• Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
• Lorentz breaking Effective Field Theory and observational tests
• $C{P}^{(N-1)}$ model in aether-superspace
• Effect of VSR invariant Chern-Simon Lagrangian on photon polarization
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Influence of Lorentz-violating terms on a two-level system
• A discrete, unitary, causal theory of quantum gravity
• Energy Positivity, Non-Renormalization, and Holomorphy in Lorentz-Violating Supersymmetric Theories
• Photon and photino as Nambu-Goldstone zero modes in an emergent SUSY QED
• Holographic Lifshitz flows
• Gauge Fields as Goldstone Bosons Triggered by Spontaneously Broken Supersymmetry
• A Special Lorentz Violation Model and a Special Rainbow Function
• Lorentz violating electrodynamics
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Aether SUSY breaking: Can aether be alternative to F-term SUSY breaking?
• Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity
• Effective Theories and Modifications of Gravity
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM
• Bimetric Models of Gravity and Cosmology in the Early Universe
• Quantizing non-projectable Hořava gravity with Lagrangian path integral
• Very special relativity induced phase in neutrino oscillation
• Recent Results on N=2,4 Supersymmetry with Lorentz Symmetry Violating
• Quark sector effects and glueball mass sensitivity estimates in Lorentz-violating supersymmetric QCD-like theories